Yazar "Camci, Didem K." seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • [ X ]
    Öğe
    ON DERIVATIONS SATISFYING CERTAIN IDENTITIES ON RINGS AND ALGEBRAS
    (Univ Nis, 2019) Sandhu, Gurninder S.; Kumar, Deepak; Camci, Didem K.; Aydin, Neset
    The present paper deals with the commutativity of an associative ring R and a unital Banach Algebra A via derivations. Precisely, the study of multiplicative (generalized)-derivations F and G of semiprime (prime) ring R satisfying the identities G(xy) +/- [F(x), y] +/- [x, y] is an element of Z(R) and G(xy) +/- [x , F(y)] +/- [x, y] is an element of Z(R) has been carried out. Moreover, we prove that a unital prime Banach algebra A admitting continuous linear generalized derivations F and G is commutative if for any integer n > 1 either G((xy)(n)) + [F(x(n)), y(n) ] + [x(n),y(n)] is an element of Z(A) or G((xy(n)) - [F(x(n)), y(n)] - [x(n) , y(n)] is an element of Z(A).
  • [ X ]
    Öğe
    ON MULTIPLICATIVE (GENERALIZED)-DERIVATIONS IN SEMIPRIME RINGS
    (Ankara Univ, Fac Sci, 2017) Camci, Didem K.; Aydin, Neset
    In this paper, we study commutativity of a prime or semiprime ring using a map F : R -> R, multiplicative (generalized) -derivation and a map H : R -> R, multiplicative left centralizer, under the following conditions: For all x,y is an element of R, i) F(xy) +/- H(xy) = 0, ii) F(xy) +/- H(yx) = 0, iii) F(x)F(y) +/- H(xy) = 0, iv) F(xy) +/- H(xy) is an element of Z, v) F(xy) +/- H(yx) is an element of Z, vi) F(x)F(y) +/- H(xy) is an element of Z.